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 A012115 Expansion of e.g.f. of cos(arcsin(arcsinh(x))), even powers only. 3

%I #12 Apr 12 2017 18:16:27

%S 1,-1,1,-49,897,-96801,6803457,-1275363153,207592347393,

%T -60889593787713,17888210916886017,-7679611833095218545,

%U 3530100224793651058305,-2109645360096014314212705,1387893136694794953345211905,-1109191050707015380265790041745,984063632341385922413073350925825

%N Expansion of e.g.f. of cos(arcsin(arcsinh(x))), even powers only.

%H G. C. Greubel, <a href="/A012115/b012115.txt">Table of n, a(n) for n = 0..224</a>

%e 1 - 1/2!*x^2 + 1/4!*x^4 - 49/6!*x^6 + 897/8!*x^8...

%t With[{nn = 50}, Table[(CoefficientList[Series[Cos[ArcSin[ArcSinh[x]]], {x, 0, 2*nn}], x]*Range[0, 2*nn]!)[[n]], {n, 1, 2*nn + 1, 2}]] (* _G. C. Greubel_, Apr 12 2017 *)

%o (PARI) x = 'x + O('x^40); select(x->x, Vec(serlaplace(cos(asin(asinh(x)))))) \\ _Michel Marcus_, Mar 09 2017

%Y Cf. A012248.

%K sign

%O 0,4

%A Patrick Demichel (patrick.demichel(AT)hp.com)

%E More terms from _Michel Marcus_, Mar 09 2017

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Last modified December 5 08:13 EST 2023. Contains 367575 sequences. (Running on oeis4.)